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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

8 5 - 8 6 Arithmetic or Geometric? The first four terms of a sequence are given. Determine whether these terms can be the terms of an arithmetic sequence, a geometric sequence, or neither. If the sequence is arithmetic or geometric, find the next term.

8 5 . ( a ) 5 , 3 , 5 , 3 , ... ( b ) 1 3 , 1 , 5 3 , 7 3 , ...

( c ) 3 , 3 , 3 3 , 9 , ... ( d ) 3 , 3 2 , 0 , 3 2 , ...

To determine

(a)

To find:

The sequence is arithmetic, geometric, or neither and find the next term

Explanation

Given:

The sequence is 5,3,5,3,...

Approach:

Common ratio for geometric series is anan1

Common difference for arithmetic series is anan1

Calculation:

a2a1=(3)5=<

To determine

(b)

To find:

The sequence is arithmetic, geometric, or neither and find the next term

To determine

(c)

To find:

The sequence is arithmetic, geometric, or neither and find the next term

To determine

(d)

To find:

The sequence is arithmetic, geometric, or neither and find the next term

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